Respuesta :
Answer:
The original cost was 20 dollars.
Step-by-step explanation:
$12 represents 60% of the original price.
Set up a proportion
- 60/100 = 12
- 100% = x
Cross multiply Reduce 100/100 to 1
60/100 * x = 12 * 100/100
Multiply by 100
60/ 100 * x = 12
Divide by 60
60x = 12*100
60x = 1200
60x/60 = 1200/60
x = 20 dollars.
The original price of the sweater was $20.
In this problem, 40% is the amount of discount. We can subtract 40% from 100% because our original price will always be 100%
We can now change this problem to 12 is 60% of what number?
12 is 60% of X
Equation: Y = P% * X
Solving our equation for X
X = Y/P%
X = 12/60%
Converting percent to decimal:
P = 60%/100 = 0.6
X = 12/0.6
X = 20
Therefore, the original price of the sweater was $20